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Finding the Fourth Proportional to 4,200.82, 5,797.17 and 2,337.82

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Solution

The fourth proportional to 4,200.82, 5,797.17 and 2,337.82 is: 3,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.82 : 5,797.17 = 2,337.82 : x
  2. Step 2: Convert to fraction form
    4,200.82/5,797.17 = 2,337.82/x
  3. Step 3: Cross multiply
    4,200.82x = 5,797.17 × 2,337.82
  4. Step 4: Simplify right side
    4,200.82x = 13,552,739.97
  5. Step 5: Solve for x
    x = 13,552,739.97/4,200.82
  6. Step 6: Final answer
    x = 3,226.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.